Around 75,000 Twitter users have named Manchester United's Ryan Giggs Using parliamentary privilege to break the court order, he said it would not be practical to imprison the 75,000 Twitter users who had named the player.
Earlier the High Court again ruled that the injunction should not be lifted.
Parliamentary privilege protects MPs and peers from prosecution for statements made in the House of Commons or House of Lords.
Addressing MPs, Mr Hemming said: "Mr Speaker, with about 75,000 people having named Ryan Giggs it is obviously impracticable to imprison them all."
In court, Mr Justice Eady rejected a fresh application by Sun publisher News Group Newspapers to discharge the privacy injunction.
The judge said: "The court's duty remains to try and protect the claimant, and particularly his family, from intrusion and harassment so long as it can."
Analysis
Lib Dem MP John Hemming was fully protected by parliamentary privilege. Media organisations have only qualified privilege which means they do not have an absolute right to report what an MP says in Parliament.
In reality though once an MP says something in Parliament it is very difficult to stop that becoming widely known.
News organisations were torn between their duty to observe a court order and their obligation to viewers, listeners and readers.
Once some news organisations started publishing Ryan Giggs's name, other news organisations agreed that it would be unrealistic to pretend that the injunction had any purpose or would be maintained beyond the afternoon.
In reality though once an MP says something in Parliament it is very difficult to stop that becoming widely known.
News organisations were torn between their duty to observe a court order and their obligation to viewers, listeners and readers.
Once some news organisations started publishing Ryan Giggs's name, other news organisations agreed that it would be unrealistic to pretend that the injunction had any purpose or would be maintained beyond the afternoon.
On Sunday, a Scottish paper named Mr Giggs as being the footballer identified on Twitter.
The Attorney General Dominic Grieve told the Commons the prime minister had asked for a joint committee of peers and MPs to investigate the use of privacy orders.David Cameron has written a letter to John Whittingdale, chairman of the Commons culture committee, recommending the setting up of a new body.
Mr Whittingdale told the Commons developments in this area were "moving very rapidly".
"You virtually need to be living in an igloo not to know the identity of at least one of the premiership footballers.
"We are in danger of making the law look like an ass."
Mr Cameron told ITV1's Daybreak banning newspapers from naming such stars while the information was widely available on the internet was both "unsustainable" and "unfair".
In another case brought by a separate footballer, known to the court as TSE, a High Court judge ruled on Monday that comments on Twitter about the private life of a famous person did not mean there should be no injunction preventing newspapers from publishing stories about him.
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